Search a number
-
+
46953996984 = 23323121036737
BaseRepresentation
bin101011101110101011…
…010010001010111000
311111012022020012000100
4223232223102022320
51232130210400414
633323111035400
73251364250326
oct535653221270
9144168205010
1046953996984
1118a05341994
12912496bb60
13457399c48b
1423b5d90d16
15134c265609
hexaeead22b8

46953996984 has 48 divisors (see below), whose sum is σ = 131269245120. Its totient is φ = 15146449920.

The previous prime is 46953996979. The next prime is 46953997001. The reversal of 46953996984 is 48969935964.

46953996984 is a `hidden beast` number, since 4 + 6 + 9 + 539 + 9 + 6 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10516137 + ... + 10520600.

It is an arithmetic number, because the mean of its divisors is an integer number (2734775940).

Almost surely, 246953996984 is an apocalyptic number.

It is an amenable number.

46953996984 is an abundant number, since it is smaller than the sum of its proper divisors (84315248136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46953996984 is a wasteful number, since it uses less digits than its factorization.

46953996984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21036780 (or 21036773 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 46953996984 in words is "forty-six billion, nine hundred fifty-three million, nine hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 21036737 42073474 63110211 84146948 126220422 168293896 189330633 252440844 378661266 504881688 652138847 757322532 1304277694 1514645064 1956416541 2608555388 3912833082 5217110776 5869249623 7825666164 11738499246 15651332328 23476998492 46953996984